Is the following table proportional or non-proportional?

9514 1404 393

Answer:

  multiply their coefficients, use the base with the sum of exponents

Step-by-step explanation:

The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.

  (a·x^b)(c·x^d) = ac·x^(b+d)

_____

If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.

Example

  5x^2 · 7x^3= 5·x·x·7·x·x·x

  = 5·7·x·x·x·x·x

  = (5·7)(x^(2+3))

  = 35x^5

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex]\huge\underline{\sf{\red{Explanation:}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

✍︎ C.Rose❀

Answer:

b

Step-by-step explanation:

b because you cant have x as a denominator in this situation

Answer:

1.36363636364

Step-by-step explanation:

Step-by-step explanation:

Here

45%33=1.36

:. Ans=1.36

Answer:

A

Step-by-step explanation:

When I did the two questions on the white board, only equation one had infinite solutions. Equation 2 have no solutions.

Answer: [tex]x = 2\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\dfrac{15}{x}=\dfrac{x}{4} \\\\ x \times x = 15 \times 4\\x^{2} =60\\x=\sqrt{60} =2\sqrt{15}[/tex]

Answer: 10 pieces of two by four woods.

Step-by-step explanation:

The number of woods that would be needed depends on the type of design chosen. A more complex design would require more wood to achieve it so it can satisfy the law of buoyancy and float on the water.

10 pieces of two by four would would be enough to build a raft that would float on water.

you will do as you said yes yes i is fine with me but i’m going on the right now so bye bye u it was correct that

Answer:

17^2 =8^2 + 5^2=

17 x 17=8x8+5x5

289=64+25

289=89

no ,it is not right angle triangle

17^2=8^2 + 15^2

17 x17=8 x8+15x 15

289=64+225

289=289

yes ,it is right angle triangle

mark me as brainlist

Step-by-step explanation:

Answer:

The third one

Step-by-step explanation:

Answer:

Answer choice number 3

Step-by-step explanation:

If you subtract 35,000-31,000=4000

If you subrtact 27,000-23,000=4000

So the planes altitude drops -4,000 Ft every one minute

Hope this helps

Answer:

96 tickets

Step-by-step explanation:

Answer:

Teachers already introduce the general concept of revolutions (turns) when they say things like "a full circle is 360°", but they can make the concept more numerically precise by saying "a full turn is 360°, a half turn is 180°, a quarter turn is 90°, and an eighth turn is 45°" or writing "1 rev = 360°, 1/2 rev = 180°, ...

Step-by-step explanation:

hope this help :)

( t _t )

Answer:

An angle that turns through 1 360 of a circle what is the measure in degrees of the angle

Step-by-step explanation:

Angles are typically measured in degrees or radians. Angle measure is based on a circle where a full turn around the circle is 360 degrees. Similarly, a half turn is 180 degrees, a fourth [quarter] turn is 90 degrees, and so on.

Answer:

a) f(0) = -9

b) f(2) = -5

c) f(-3) = -15

d) f(1/2)=-8

Step-by-step explanation:

We are given the function [tex]f(x)=2x-9[/tex] and we need to find the following:

a) f(0)

For finding f(0) put x =0 in the given function

[tex]f(x)=2x-9\\Put\:x=0\\f(0)=2(0)-9\\f(0)=-9[/tex]

So, we get f(0)=-9

b) f(2)

For finding f(2) put x =2 in the given function

[tex]f(x)=2x-9\\Put\:x=2\\f(2)=2(2)-9\\f(2)=4-9\\f(2)=-5[/tex]

So, we get f(2)=-5

c) f(-3)

For finding f(-3) put x =-3 in the given function

[tex]f(x)=2x-9\\Put\:x=-3\\f(-3)=2(-3)-9\\f(-3)=-6-9\\f(-3)=-15[/tex]

So, we get f(-3)=-15

d) f(1/2)

For finding f(1/2) put x =1/2 in the given function

[tex]f(x)=2x-9\\Put\:x=\frac{1}{2}\\f(\frac{1}{2})=2(\frac{1}{2})-9\\f(\frac{1}{2})=1-9\\f(\frac{1}{2})=-8[/tex]

So, we get f(1/2)=-8

Answer:

b is the answer

Step-by-step explanation:

the graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k

if g(x) is obtained by shifting f(x) down by 5 units,

then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5

so k = 5 units

hope this helps

Answer:

Step-by-step explanation:

Answer:

2.55 km or 2 11/20 km or 51/20 km

What are your answer choices?

Answer: 25/6

Step-by-step explanation:

Answer:

? = 4.1667

Step-by-step explanation:

300/72 = 4.1667

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:  the value of the diversity index D for the population is 0.42

Step-by-step explanation:

Given that; population of the two species are

p1 = 30% = 0.3 (snapping turtle)

p2 = 70% = 0.7 ( box turtle)

so if two (2) organisms are picked, then they can be different from each other ( i.e Event E) under following two scenarios

E1 → First organism selected from p1 and second organism selected from p2

E2 → First organism selected from p2 and second organism selected from p1

which means we are observing the different orders in which the organisms can be picked.

So the probability of event E = the sum of probabilities of events E1 and E2.

which is;

D = P(E) = P(E1) + P(E2)

= P1×P2 + P2×P1

= 2P1P2

so we substitute

D = 2 × 0.3 × 0.7

D = 0.42

Therefore the value of the diversity index D for the population is 0.42

Answer:

0

6

Step-by-step explanation:

<3

The ranges are:

f(x): {y | y ≤ infinity}

g(x): {y | y ≤ infinity}

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

For the function f(x) = (4/5)x, any input value of x will be multiplied by 4/5 and produce a corresponding output value y.

Since the fraction 4/5 is less than 1, the output values of f(x) will always be smaller than the input values of x.

Therefore, the range of f(x) will be all real numbers less than or equal to the greatest possible output value.

The greatest possible output value will occur when x is the greatest possible input value, which is infinity. So, the range of f(x) is:

f(x): {y | y ≤ infinity}

For the function g(x) = (4/5)x + 6, any input value of x will be multiplied by 4/5, then 6 will be added to the result to produce a corresponding output value y.

The fraction 4/5 is less than 1, so the output values of g(x) will always be less than the input values of x plus 6.

Therefore, the range of g(x) will be all real numbers less than or equal to the greatest possible output value, which occurs when x is infinity. So, the range of g(x) is:

g(x): {y | y ≤ infinity}

To learn more about the function;

brainly.com/question/28303908

#SPJ7

Answer:HELLO!

Step-by-step explanation:

Hii friend,

Prime factorisation of 24 = 2 × 2 × 3 × 2

Prime factorisation of 36 = 2×2 × 3 × 3

Prime factorisation of 40 = 2 × 2 × 2× 5

HCF of 24 , 36 and 40 = 2 × 2 = 4

LCM of 24 , 36 and 40 = 2 × 2 ×2 × 3 × 3 × 5 = 360

Answer:

( − 7.00006693 , − 0.00006693 )    ( 0.68099975 , 7.68099975 )

Step-by-step explanation:

Answer:

points

Step-by-step explanation:

Answer:

Step-by-step explanation:

This can happen because of the timestamp on the toll card. When you pass through the initial entrance point the timestamp marks the exact moment you passed. When you pass through the exit toll point the individual subtracts the current time from the time you entered the initial toll entrance. From this, he can easily determine the average speed that you were driving at. If the average speed is higher than the speed limit, it means that at some point between the two toll booths you were speeding and therefore they can give you a speeding ticket.

Answer:

He makes 4 batches of cookies with all of the chocolate chips so he will use 4 times the amount of batter in 1 batch so you would do 5 1/2 times 4 which eqauls 22 so he will use 22 cups of cookie dough.

So your answer is D. 22 cups

Step-by-step explanation:

The number of cups of cookie dough does the baker use is 22 cups.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 5\frac{1}{2} \times 4\\\\= \frac{11}{2}\times 4[/tex]

= 22 cups  

Therefore we can conclude that the number of cups of cookie dough does the baker use is 22 cups.

Learn more: brainly.com/question/24169758

Answer:

this would 5 x + 2

Step-by-step explanation:

Answer: (4x2 + 4x - 5) • (x - 1)

Step-by-step explanation: The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  5.

The factor(s) are:

of the Leading Coefficient :  1,2 ,4

of the Trailing Constant :  1 ,5

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  4x3-9x+5

can be divided with  x-1

2.2    Polynomial Long Division

Dividing :  4x3-9x+5

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     4x3      -  9x  +  5

- divisor  * 4x2     4x3  -  4x2        

remainder         4x2  -  9x  +  5

- divisor  * 4x1         4x2  -  4x    

remainder          -  5x  +  5

- divisor  * -5x0          -  5x  +  5

remainder                0

Quotient :  4x2+4x-5  Remainder:  0

2.3     Factoring  4x2+4x-5

The first term is,  4x2  its coefficient is  4 .

The middle term is,  +4x  its coefficient is  4 .

The last term, "the constant", is  -5

Step-1 : Multiply the coefficient of the first term by the constant   4 • -5 = -20

Step-2 : Find two factors of  -20  whose sum equals the coefficient of the middle term, which is   4 .

     -20    +    1    =    -19

     -10    +    2    =    -8

     -5    +    4    =    -1

     -4    +    5    =    1

     -2    +    10    =    8

     -1    +    20    =    19

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer:

1 hour

Step-by-step explanation:

Answer:

An hour

Step-by-step explanation:

Are you really that simple 15 MILES AN HOUR THERES YOUR ANSWER